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19820073 = 371379919
BaseRepresentation
bin100101110011…
…0111000101001
31101021222000210
41023212320221
520033220243
61544451333
7330316320
oct113467051
941258023
1019820073
1110208129
126779b49
13414c570
1428bd0b7
151b17933
hex12e6e29

19820073 has 32 divisors (see below), whose sum is σ = 32972800. Its totient is φ = 10310976.

The previous prime is 19820069. The next prime is 19820077. The reversal of 19820073 is 37002891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19820069) and next prime (19820077).

It is not a de Polignac number, because 19820073 - 22 = 19820069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19820073.

It is not an unprimeable number, because it can be changed into a prime (19820077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21108 + ... + 22026.

It is an arithmetic number, because the mean of its divisors is an integer number (1030400).

Almost surely, 219820073 is an apocalyptic number.

19820073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

19820073 is a deficient number, since it is larger than the sum of its proper divisors (13152727).

19820073 is a wasteful number, since it uses less digits than its factorization.

19820073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 19820073 is about 4451.9740565282. The cubic root of 19820073 is about 270.6253133602.

The spelling of 19820073 in words is "nineteen million, eight hundred twenty thousand, seventy-three".

Divisors: 1 3 7 13 21 39 79 91 237 273 553 919 1027 1659 2757 3081 6433 7189 11947 19299 21567 35841 72601 83629 217803 250887 508207 943813 1524621 2831439 6606691 19820073